10414420013 has 2 divisors, whose sum is σ = 10414420014. Its totient is φ = 10414420012.

The previous prime is 10414419931. The next prime is 10414420021. The reversal of 10414420013 is 31002441401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9157150249 + 1257269764 = 95693^2 + 35458^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414420013 - 2²⁴ = 10397642797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10414420043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5207210006 + 5207210007.

It is an arithmetic number, because the mean of its divisors is an integer number (5207210007).

Almost surely, 2^10414420013 is an apocalyptic number.

It is an amenable number.

10414420013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414420013 is an equidigital number, since it uses as much as digits as its factorization.

10414420013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10414420013 its reverse (31002441401), we get a palindrome (41416861414).

The spelling of 10414420013 in words is "ten billion, four hundred fourteen million, four hundred twenty thousand, thirteen".